Diameter Estimate in Geometric Flows

Shouwen Fang; Tao Zheng

doi:10.3390/math11224659

Diameter Estimate in Geometric Flows

Shouwen Fang, Tao Zheng^*

^*此作品的通讯作者

数学学院

Yangzhou University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We prove the upper and lower bounds of the diameter of a compact manifold (Formula presented.) with (Formula presented.) and a family of Riemannian metrics (Formula presented.) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow, and Lorentzian mean curvature flow on an ambient Lorentzian manifold with non-negative sectional curvature.

源语言	英语
文章编号	4659
期刊	Mathematics
卷	11
期	22
DOI	https://doi.org/10.3390/math11224659
出版状态	已出版 - 11月 2023

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10.3390/math11224659

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Fang, S., & Zheng, T. (2023). Diameter Estimate in Geometric Flows. Mathematics, 11(22), 文章 4659. https://doi.org/10.3390/math11224659

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abstract = "We prove the upper and lower bounds of the diameter of a compact manifold (Formula presented.) with (Formula presented.) and a family of Riemannian metrics (Formula presented.) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow, and Lorentzian mean curvature flow on an ambient Lorentzian manifold with non-negative sectional curvature.",

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AB - We prove the upper and lower bounds of the diameter of a compact manifold (Formula presented.) with (Formula presented.) and a family of Riemannian metrics (Formula presented.) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow, and Lorentzian mean curvature flow on an ambient Lorentzian manifold with non-negative sectional curvature.

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Diameter Estimate in Geometric Flows

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